Steady State & Plotting Trajectories in MATLAB

The Brusselator is a simple model for oscillatory chemical systems such as the Belousov-Zhabotinski reaction. The timeevolution of the concentration of two chemical species, x and y, is described by the ODE's: AND ,
Where A>0, B>0 are constants.

[A]. Find the single steady state of this model (do this portion on paper and attach to solution).

[B]. Write a program (MATLAB) to compute x(t) and y(t) for a given initial condition x(0)≥0 and y(0) ≥0. Plot a few trajectories in the xy plane, and mark the location of the steady state. Investigate cases where B/(1+A2) is less than, greater that, and equal to one.